1. For each of the following assertions, state whether it is a legitimate statistical hypothesis and why: a. H. o > 100 c. H: ss.20 e. H:X – Y = 5 f. H: A< .01, where A is the parameter of an exponential distribution used to model component lifetime b. H. x = 45 d. H: o l0, < 1

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 4E
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1. For each of the following assertions, state whether it is a
legitimate statistical hypothesis and why:
b. H: x = 45
d. H: o l0, < 1
a. H: o > 100
c. H: ss.20
e. H: X – Y = 5
f. H: A< .01, where A is the parameter of an exponential
distribution used to model component lifetime
е.
2. For the following pairs of assertions, indicate which do not
comply with our rules for setting up hypotheses and why (the
subscripts 1 and 2 differentiate between quantities for two
different populations or samples):
a. Η : μ= 100, Η: μ> 100
b. Hg: o = 20, H,: o < 20
c. Hg: p + .25, H;:p = .25
d. Hg: µ - H2 = 25, H̟: µ1
e. Hj: S{ = S%, H,: S{ # S{
Hz> 100
. Η:μ 120, Η : μ 150
g. Hg: 0,l02 = 1, H;; 0 l02 # 1
h. Hg: P1 - P2 = -.1, H;: p - Pr < -.1
S PhotoGrid
Transcribed Image Text:1. For each of the following assertions, state whether it is a legitimate statistical hypothesis and why: b. H: x = 45 d. H: o l0, < 1 a. H: o > 100 c. H: ss.20 e. H: X – Y = 5 f. H: A< .01, where A is the parameter of an exponential distribution used to model component lifetime е. 2. For the following pairs of assertions, indicate which do not comply with our rules for setting up hypotheses and why (the subscripts 1 and 2 differentiate between quantities for two different populations or samples): a. Η : μ= 100, Η: μ> 100 b. Hg: o = 20, H,: o < 20 c. Hg: p + .25, H;:p = .25 d. Hg: µ - H2 = 25, H̟: µ1 e. Hj: S{ = S%, H,: S{ # S{ Hz> 100 . Η:μ 120, Η : μ 150 g. Hg: 0,l02 = 1, H;; 0 l02 # 1 h. Hg: P1 - P2 = -.1, H;: p - Pr < -.1 S PhotoGrid
3. To determine whether the pipe welds in a nuclear power
plant meet specifications, a random sample of welds is
selected, and tests are conducted on each weld in the sample.
Weld strength is measured as the force required to break the
weld. Suppose the specifications state that mean strength of
welds should exceed 100 lb/in²; the inspection team decides
to test H: µ = 100 versus H; µ> 100. Explain why it
might be preferable to use this H, rather than µ < 100.
4. Let u denote the true average radioactivity level (picocuries
per liter). The value 5 pCi/L is considered the dividing line
between safe and unsafe water. Would you recommend testing
Η , μ= 5versus Η : μ> 5 or H: μ = 5 versus Η: μ < 5?
Transcribed Image Text:3. To determine whether the pipe welds in a nuclear power plant meet specifications, a random sample of welds is selected, and tests are conducted on each weld in the sample. Weld strength is measured as the force required to break the weld. Suppose the specifications state that mean strength of welds should exceed 100 lb/in²; the inspection team decides to test H: µ = 100 versus H; µ> 100. Explain why it might be preferable to use this H, rather than µ < 100. 4. Let u denote the true average radioactivity level (picocuries per liter). The value 5 pCi/L is considered the dividing line between safe and unsafe water. Would you recommend testing Η , μ= 5versus Η : μ> 5 or H: μ = 5 versus Η: μ < 5?
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